Evaluation of routines for numerical solution of the matrix equation AX + XA sup T + B = 0
Evaluation of routines for numerical solution of matrix equation for time-invariant linear systems
Dowling, P. R.↗
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Results for “linear systems”
Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.
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The synthesis of optimal controls for linear problems with retarded controls
Synthesis of optimal controls for linear systems with retarded controls
Banks, H. T.↗
Stochastic differential games with constrained state estimators
Stochastic differential games with constrained state estimators, involving linear system, quadratic cost functional and white Gaussian noises corrupting output measurements
Luenberger, D. G.↗
A separation theorem for nonlinear measurements
Separation theorem for nonlinear measurements, discrete-time linear systems and quadratic cost to achieve stochastic control without dynamic programming
Curry, R. E.↗
An identification algorithm which is insensitive to initial parameter estimates
Identification algorithm for estimating parameters in constant coefficient linear system independent of prior estimates
Denery, D. G.↗
Impulse response determination by cross correlation
Digital cross correlator design for impulse response determination in linear systems, noting real time operation without software and storage problems
Mitchell, E. M.↗
An approximate minimal time closed-loop controller for processes with bounded control amplitudes and rates
Minimal time closed loop controller design for linear systems with bounded control amplitudes and rates using approximate functional expression
Luh, J. Y. S.↗
An optimal stochastic control problem with observation cost
Linear systems simultaneous optimal stochastic control and observation strategies, assuming quadratic observation cost
Cooper, C. A.↗
Realization theory of rational transfer matrices
Realization theory of rational transfer matrices presented as fundamental algebraic objects in theory of finite, constant linear systems
Wonham, W. M.↗
On the p-Q generalized inverse
Algorithm for p-q solution of degenerate linear system
Johnston, D. A.↗
An identification algorithm that is insensitive to initial parameter estimates
Identification algorithm for estimating parameters in constant coefficient linear system independent of prior estimates
Denery, D. G.↗
Time-dependent Hartree-Fock theory for atoms
Coupled and uncoupled versions of Hartree-Fock theory, calculating atomic system linear response to external time dependent perturbation and Green function
Jamieson, M. J.↗
On the convergence of Lion's identification method with random inputs
Convergence of identification scheme for scalar- input-scalar-output linear systems with random inputs, applying invariant set theorem for random systems
Kushner, H. J.↗
An optimal stochastic control problem with observation cost
Linear system optimal stochastic control and observation strategies simultaneous determination with quadratic cost by dynamic programming
Cooper, C. A.↗
Apollo 9 multiband photography experiment S065
Fourier analysis was applied to microdensitometer scans of a selected region of one SO65 frame in each of the three black-and-white bands. The approach was unique because a somewhat arbitrary section of the image was used and not limited to available targets as in edge analysis. Comparison of duplicates and calculation of absolute SO65 MTF were done by applying linear systems theory to the spatial spectra of the image scans. It was found that the duplication process was nonlinear and resulted in general amplification of spatial frequency modulation. However, the increase in modulation was offset by a corresponding increase in the granularity of the copies. The amount of increase seemed to be related to the initial granularity, but a direct relationship was not verified. Band-to-band comparison of image quality was achieved in the form of signal-to-noise ratio curves as a function of spatial frequency for each band. From this standpoint the DD band was an order of magnitude better than the other two. These were several factors that restricted the analysis of the Apollo 9 imagery. Among these were the lack of precise sensitometric and optical system data on the high altitude photography. In addition it was determined that there was only one simultaneous pair of high altitude and SO65 frames. Finally, the original SO65 photography was not available for scanning (for obvious reasons), thus eliminating a reference base for granularity and SO65 MTF determination.
Schowengerdt, R. A.↗
The synthesis of optimal controls for linear, time-optimal problems with retarded controls.
Optimization problems involving linear systems with retardations in the controls are studied in a systematic way. Some physical motivation for the problems is discussed. The topics covered are: controllability, existence and uniqueness of the optimal control, sufficient conditions, techniques of synthesis, and dynamic programming. A number of solved examples are presented.
Banks, H. T.↗
Quadratic performance index generation for optimal regular design.
Application of optimal control theory to practical problems has been limited by the difficulty of prescribing a performance index which accurately reflects design requirements. The task of deriving equivalent performance indices is considered in the present paper for a plant that is a completely controllable, scalar linear system with state feedback. A quadratic index is developed which leads to an optimal design performance satisfying some of the classical performance criteria.
Bullock, T. E.↗
Lie algebras and linear differential equations.
Certain symmetry properties possessed by the solutions of linear differential equations are examined. For this purpose, some basic ideas from the theory of finite dimensional linear systems are used together with the work of Wei and Norman on the use of Lie algebraic methods in differential equation theory.
Brockett, R. W.↗